Rose, David

David Rose

Associate Professor

Phillips Hall 302
davidev@email.unc.edu

Research Interests

Low-dimensional topology, representation theory, homological algebra, category theory

 

Professional background

BS, The College of William and Mary, 2006; CASt Part III, Christ's College, University of Cambridge, 2007; Ph.D., Duke University, 2012; Busemann Assistant Professor, Postdoc, University of Southern California, 2012-2016

 

Research Synopsis

I am broadly interested in low-dimensional topology, representation theory, and their interactions. My current work aims to prove structural results concerning homological and quantum invariants of knots and links, with an eye towards topological applications. I am also interested in various related structures, for example, categorified quantum groups, quantum invariants of 3-manifolds, skein modules, and in the homological algebra underlying their study.

 

Representative Publications

Sutured Annular Khovanov-Rozansky Homology
H. Queffelec and D.E.V. Rose,
Transactions of the American Mathematical Society, 370, 1285-1319, 2018

The Sl(N) Foam 2-Category: A Combinatorial formulation of Khovanov-Rozansky Homology via Categorical Skew Howe Duality
H. Queffelec and D.E.V. Rose,
Advances in Mathematics, 302, 1251-1339, 2016

Deformations of Colored Sl(N) Link Homologies Via Foams
D.E.V. Rose and P. Wedrich,
Geometry & Topology, 20, 3431–3517, 2016

News

Inaugural MPE Prize

Inaugural MPE Prize

The Society for Industrial and Applied Mathematics inaugural MPE Prize...

Greg Forest Honored for Mentoring

Greg Forest Honored for Mentoring

The Carolina Women’s Leadership Council honored M. Gregory Forest with a 2017...